MathDB
sigma 1/n^3 <5/4

Source:

October 3, 2010
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Problem Statement

(HUN2)(HUN 2) Prove that 1+123+133++1n3<541+\frac{1}{2^3}+\frac{1}{3^3}+\cdots+\frac{1}{n^3}<\frac{5}{4}